Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
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DissertationDate of Exam
18.10.2017Date of Publication
05.03.2018Advisor
Zagier, Don BernardCo-Referee
Ballmann, WernerMetadata
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Abstract
We study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are involved in the computation of genus one superstring amplitudes. In particular, we obtain new results on the asymptotic expansion of these functions that allow us to perform explicit computations and point out analogies between genus zero and genus one amplitudes.
Classification (DDC)
510 MathematikZerbini, Federico: Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes. - Bonn, 2018. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-50006
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-50006
@phdthesis{handle:20.500.11811/7514,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-50006,
author = {{Federico Zerbini}},
title = {Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2018,
month = mar,
note = {We study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are involved in the computation of genus one superstring amplitudes. In particular, we obtain new results on the asymptotic expansion of these functions that allow us to perform explicit computations and point out analogies between genus zero and genus one amplitudes.},
url = {https://hdl.handle.net/20.500.11811/7514}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-50006,
author = {{Federico Zerbini}},
title = {Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2018,
month = mar,
note = {We study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are involved in the computation of genus one superstring amplitudes. In particular, we obtain new results on the asymptotic expansion of these functions that allow us to perform explicit computations and point out analogies between genus zero and genus one amplitudes.},
url = {https://hdl.handle.net/20.500.11811/7514}
}
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